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An introduction to structured population dynamics
TLDR
In this paper, the authors present a case study of multispecies interactions with continuous models of age-structured models and show that these models can be used in a variety of applications.Abstract:
Preface 1 Discrete Models Matrix Models Autonomous Single Species Models Some Applications A Case Study Multispecies Interactions 2 Continuous Models Age-Structured Models Autonomous Age-Structured Models Some Applications Multispecies Interactions Other Structured Models 3 Population Level Dynamics Ergodicity and Nonlinear Models The Linear Chain Trick Hierarchical Models Total Population Size in Age-Structured Models Appendix A Stability Theory for Maps Linear Maps Linearization of Maps Appendix B Bifurcation Theorems A Global Bifurcation Theorem Local Parameterization Appendix C Miscellaneous Proofs Bibliography Indexread more
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Finding optimal control strategies for invasive species: a density‐structured model for Spartina alterniflora
Caz M. Taylor,Alan Hastings +1 more
TL;DR: Given the uncertainty in future budgets allocated for control of invasive Spartina, the basic question of whether it is more efficient to prioritize the removal of outliers or core populations of an invasive grass, Spartina alterniflora, is addressed.
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Quantitative aspects of metabolic organization: a discussion of concepts.
TL;DR: Dynamic energy budget (DEB) theory identifies rules, which quantify how individuals acquire and use energy and nutrients, and provides constraints on the metabolic organization of subcellular processes.
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Some Discrete Competition Models and the Competitive Exclusion Principle
TL;DR: In this paper, the authors show that the Leslie/Gower model has the same dynamic scenarios as the Lotka/Volterra (differential equation) competition model and give an example of a competition model that has non-Lotka/volterra dynamics that are consistent with the anomalous case.
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The basic reproduction number in some discrete-time epidemic models
TL;DR: In this article, the basic reproduction number for discrete-time epidemic models is calculated using the next generation matrix approach for discrete spatial patches and is applied to six disease models developed for the study of two emerging wildlife diseases: hantavirus in rodents and chytridiomycosis in amphibians.